Finding the Third Proportional to 97,283.50 and 213,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,283.50 : 213,019.50 = 213,019.50 : x
2. Step 2: Convert to fraction form
   97,283.50/213,019.50 = 213,019.50/x
3. Step 3: Cross multiply
   97,283.50x = 213,019.50 × 213,019.50
4. Step 4: Simplify right side
   97,283.50x = 45,377,307,380.25
5. Step 5: Solve for x
   x = 45,377,307,380.25/97,283.50
6. Step 6: Final answer
   x = 466,444.03